Exploratory Plots for 2017-2018 Acoustic/Fish Data

Purpose To explore the Acoustic data gathered in 2017 and 2018 to expose important trends between sites, diurnal patterns, fish abundance, lunar phase, and coral reef acoustics.

Validations

Combined Model All variables are matched to the files that were used for Fish call counts (3:00, 9:00, 15:00, 21:00)

Confidence Intervals

Distributions

## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

Regressions

Running basic regressions linking the explanatory to the response at their lowest levels and combined to see how different sites/ hours change the regression - SPL

Linear Model outputs below each

## 
## Call:
## lm(formula = SPL_HF ~ Snaps, data = Snap.HF17)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -7.8309 -1.9842  0.2062  1.8451 13.3944 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 1.053e+02  6.541e-01  160.99   <2e-16 ***
## Snaps       7.227e-03  4.475e-04   16.15   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2.807 on 10163 degrees of freedom
## Multiple R-squared:  0.02502,    Adjusted R-squared:  0.02493 
## F-statistic: 260.8 on 1 and 10163 DF,  p-value: < 2.2e-16

2017 Snap data, snaps significant.

When you break it down by site, site 32 has the opposite relationship with high frequency and snaps.

High Frequency

2017 Snap/HF SPL Site Breakdown

## 
## Call:
## lm(formula = SPL_HF ~ Snaps, data = s17s5)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -6.0817 -2.1540  0.4371  1.9805  7.0937 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 87.830664   1.873329   46.88   <2e-16 ***
## Snaps        0.018381   0.001277   14.39   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2.483 on 2101 degrees of freedom
## Multiple R-squared:  0.08971,    Adjusted R-squared:  0.08928 
## F-statistic: 207.1 on 1 and 2101 DF,  p-value: < 2.2e-16

## 
## Call:
## lm(formula = SPL_HF ~ Snaps, data = s17s8)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -6.3374 -1.3945  0.1363  1.4230  9.4265 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 7.185e+01  1.270e+00   56.59   <2e-16 ***
## Snaps       3.314e-02  9.084e-04   36.48   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2.117 on 1831 degrees of freedom
## Multiple R-squared:  0.4209, Adjusted R-squared:  0.4206 
## F-statistic:  1331 on 1 and 1831 DF,  p-value: < 2.2e-16

## 
## Call:
## lm(formula = SPL_HF ~ Snaps, data = s17s35)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -6.9213 -1.7565 -0.0424  1.6512 10.3407 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 71.282701   1.451690   49.10   <2e-16 ***
## Snaps        0.029598   0.000995   29.75   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2.573 on 2205 degrees of freedom
## Multiple R-squared:  0.2864, Adjusted R-squared:  0.2861 
## F-statistic: 884.9 on 1 and 2205 DF,  p-value: < 2.2e-16

## 
## Call:
## lm(formula = SPL_HF ~ Snaps, data = s17s40)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -5.1902 -1.2312  0.0344  1.2186  9.3897 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 7.644e+01  1.044e+00   73.19   <2e-16 ***
## Snaps       2.679e-02  7.062e-04   37.93   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.736 on 1862 degrees of freedom
## Multiple R-squared:  0.4359, Adjusted R-squared:  0.4356 
## F-statistic:  1439 on 1 and 1862 DF,  p-value: < 2.2e-16

## 
## Call:
## lm(formula = SPL_HF ~ Snaps, data = s17s32)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -4.936 -1.084  0.114  1.063  7.102 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 137.43721    0.89844  152.97   <2e-16 ***
## Snaps        -0.01414    0.00060  -23.56   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.532 on 2156 degrees of freedom
## Multiple R-squared:  0.2047, Adjusted R-squared:  0.2044 
## F-statistic:   555 on 1 and 2156 DF,  p-value: < 2.2e-16

2018 Snap/HF SPL

Removing outliers

## 
## Call:
## lm(formula = SPL_HF ~ Snaps, data = Snap.HF18)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -9.4682 -1.9696  0.0058  2.4042 30.2074 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 8.617e+01  8.999e-01   95.75   <2e-16 ***
## Snaps       2.269e-02  6.168e-04   36.78   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 3.142 on 5823 degrees of freedom
## Multiple R-squared:  0.1886, Adjusted R-squared:  0.1884 
## F-statistic:  1353 on 1 and 5823 DF,  p-value: < 2.2e-16

2018 Snap data with outliers removed. Snaps significant.

When split by sight, site 32 has a flat relationship.

2018 Snap/HF SPL Site Breakdown

## 
## Call:
## lm(formula = SPL_HF ~ Snaps, data = s18s5)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -7.0981 -1.7519  0.0868  1.8483  7.3155 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 65.228548   2.209305   29.52   <2e-16 ***
## Snaps        0.034773   0.001507   23.07   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2.358 on 1163 degrees of freedom
## Multiple R-squared:  0.3141, Adjusted R-squared:  0.3135 
## F-statistic: 532.5 on 1 and 1163 DF,  p-value: < 2.2e-16

## 
## Call:
## lm(formula = SPL_HF ~ Snaps, data = s18s8)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -5.8360 -1.2952  0.0422  1.3418  5.6060 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 6.663e+01  1.432e+00   46.52   <2e-16 ***
## Snaps       3.654e-02  9.848e-04   37.11   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.872 on 1163 degrees of freedom
## Multiple R-squared:  0.5421, Adjusted R-squared:  0.5417 
## F-statistic:  1377 on 1 and 1163 DF,  p-value: < 2.2e-16

## 
## Call:
## lm(formula = SPL_HF ~ Snaps, data = s18s35)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -4.907 -1.162  0.056  1.130  7.400 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 8.354e+01  1.029e+00   81.18   <2e-16 ***
## Snaps       2.627e-02  6.956e-04   37.77   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.721 on 1160 degrees of freedom
## Multiple R-squared:  0.5515, Adjusted R-squared:  0.5511 
## F-statistic:  1426 on 1 and 1160 DF,  p-value: < 2.2e-16

## 
## Call:
## lm(formula = SPL_HF ~ Snaps, data = s18s40)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -5.0382 -1.5465 -0.0117  1.4352  9.5694 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 71.758279   1.518229   47.26   <2e-16 ***
## Snaps        0.031320   0.001047   29.91   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2.057 on 1163 degrees of freedom
## Multiple R-squared:  0.4348, Adjusted R-squared:  0.4343 
## F-statistic: 894.8 on 1 and 1163 DF,  p-value: < 2.2e-16

## 
## Call:
## lm(formula = SPL_HF ~ Snaps, data = s18s32)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -4.018 -1.897  0.075  1.698  5.913 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 1.203e+02  1.488e+00  80.885   <2e-16 ***
## Snaps       3.421e-04  1.028e-03   0.333    0.739    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2.055 on 1163 degrees of freedom
## Multiple R-squared:  9.519e-05,  Adjusted R-squared:  -0.0007646 
## F-statistic: 0.1107 on 1 and 1163 DF,  p-value: 0.7394

Mid Frequency

Mid Frequency

## 
## Call:
## lm(formula = SPL_Midrange ~ Tot_Knocks, data = AC.DF1)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -7.248 -2.267 -0.871  1.597 19.211 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 1.047e+02  3.888e-01 269.163  < 2e-16 ***
## Tot_Knocks  1.744e-02  4.465e-03   3.906 0.000129 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 3.519 on 198 degrees of freedom
## Multiple R-squared:  0.07154,    Adjusted R-squared:  0.06685 
## F-statistic: 15.26 on 1 and 198 DF,  p-value: 0.0001287

2017-2018 data w/200 samples. 1st plot splits by site and second by hour to show any patterns before I break them down individually.

Breakdown by Site

## 
## Call:
## lm(formula = SPL_Midrange ~ Tot_Knocks, data = s5)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.4846 -2.3049  0.1011  1.9482  6.0310 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 1.065e+02  1.106e+00  96.290   <2e-16 ***
## Tot_Knocks  5.551e-04  8.256e-03   0.067    0.947    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 3.034 on 38 degrees of freedom
## Multiple R-squared:  0.0001189,  Adjusted R-squared:  -0.02619 
## F-statistic: 0.00452 on 1 and 38 DF,  p-value: 0.9467

Site 5, knocks not significant.

## 
## Call:
## lm(formula = SPL_Midrange ~ Tot_Knocks, data = s35)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -10.1201  -3.6626   0.4059   4.2686   9.1758 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 105.01636    1.19662  87.761   <2e-16 ***
## Tot_Knocks    0.03231    0.01218   2.653   0.0116 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 4.804 on 38 degrees of freedom
## Multiple R-squared:  0.1563, Adjusted R-squared:  0.1341 
## F-statistic: 7.039 on 1 and 38 DF,  p-value: 0.01157

Site 35, knocks significant.

Removing 2 outliers > 150

## 
## Call:
## lm(formula = SPL_Midrange ~ Tot_Knocks, data = s35E)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -6.6933 -3.4563  0.5509  3.7326  5.9745 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 103.65392    1.45143  71.415   <2e-16 ***
## Tot_Knocks    0.06400    0.02366   2.705   0.0108 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 4.032 on 32 degrees of freedom
## Multiple R-squared:  0.1861, Adjusted R-squared:  0.1607 
## F-statistic: 7.319 on 1 and 32 DF,  p-value: 0.01085

## 
## Call:
## lm(formula = SPL_Midrange ~ Tot_Knocks, data = s8)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.5526 -1.5016  0.6098  1.8588  6.6098 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 105.497101   0.700474  150.61   <2e-16 ***
## Tot_Knocks   -0.006653   0.009929   -0.67    0.507    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2.727 on 38 degrees of freedom
## Multiple R-squared:  0.01168,    Adjusted R-squared:  -0.01433 
## F-statistic: 0.449 on 1 and 38 DF,  p-value: 0.5068

Site 8, knocks not significant. Negative relationship… thats interesting.

Removing Outlier

## 
## Call:
## lm(formula = SPL_Midrange ~ Tot_Knocks, data = s8E)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.3549 -1.7770 -0.0747  1.6182  6.3206 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 106.89195    0.84585 126.372   <2e-16 ***
## Tot_Knocks   -0.03653    0.01478  -2.473   0.0181 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2.542 on 37 degrees of freedom
## Multiple R-squared:  0.1418, Adjusted R-squared:  0.1186 
## F-statistic: 6.113 on 1 and 37 DF,  p-value: 0.01814

## 
## Call:
## lm(formula = SPL_Midrange ~ Tot_Knocks, data = s40)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -2.2090 -0.9792 -0.3831  0.7009  4.7409 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 1.041e+02  4.407e-01 236.176   <2e-16 ***
## Tot_Knocks  6.514e-03  8.094e-03   0.805    0.426    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.554 on 38 degrees of freedom
## Multiple R-squared:  0.01676,    Adjusted R-squared:  -0.009116 
## F-statistic: 0.6477 on 1 and 38 DF,  p-value: 0.4259

Site 40, knocks not significant.

## 
## Call:
## lm(formula = SPL_Midrange ~ Tot_Knocks, data = s32)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.0442 -1.9728 -0.7078  0.0613 18.4340 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 103.79253    0.92602 112.084   <2e-16 ***
## Tot_Knocks    0.04784    0.01903   2.514   0.0163 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 3.783 on 38 degrees of freedom
## Multiple R-squared:  0.1426, Adjusted R-squared:   0.12 
## F-statistic: 6.321 on 1 and 38 DF,  p-value: 0.01629

Site 32, knocks significant.

Mid Frequency - Hourly Breakdown

Breakdown by Hour

## 
## Call:
## lm(formula = SPL_Midrange ~ Tot_Knocks, data = h3)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.8821 -2.3813 -0.5447  2.0264  6.8553 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 1.043e+02  7.055e-01 147.893   <2e-16 ***
## Tot_Knocks  5.296e-03  7.304e-03   0.725    0.472    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 3.121 on 48 degrees of freedom
## Multiple R-squared:  0.01083,    Adjusted R-squared:  -0.009773 
## F-statistic: 0.5258 on 1 and 48 DF,  p-value: 0.4719

3AM, knocks not significant.

Splitting by site to see if any site has a relationship

## 
## Call:
## lm(formula = SPL_Midrange ~ Tot_Knocks, data = h9)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.3144 -1.6662 -0.4952  0.7818  8.0555 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 102.90908    0.61924 166.186  < 2e-16 ***
## Tot_Knocks    0.05274    0.00653   8.076 1.69e-10 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2.703 on 48 degrees of freedom
## Multiple R-squared:  0.5761, Adjusted R-squared:  0.5672 
## F-statistic: 65.22 on 1 and 48 DF,  p-value: 1.69e-10

9AM, knocks significant

Splitting by site

## 
## Call:
## lm(formula = SPL_Midrange ~ Tot_Knocks, data = h15)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.0816 -2.0625 -0.9435  1.2227  7.1127 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 105.697228   0.669185 157.949   <2e-16 ***
## Tot_Knocks   -0.006816   0.011700  -0.583    0.563    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 3.128 on 48 degrees of freedom
## Multiple R-squared:  0.007021,   Adjusted R-squared:  -0.01367 
## F-statistic: 0.3394 on 1 and 48 DF,  p-value: 0.5629

3PM, knocks not significant

Splitting by site

## 
## Call:
## lm(formula = SPL_Midrange ~ Tot_Knocks, data = h21)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -4.987 -2.505 -0.915  1.457 18.595 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 1.060e+02  9.217e-01 114.979   <2e-16 ***
## Tot_Knocks  4.355e-03  9.860e-03   0.442    0.661    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 3.91 on 48 degrees of freedom
## Multiple R-squared:  0.004048,   Adjusted R-squared:  -0.0167 
## F-statistic: 0.1951 on 1 and 48 DF,  p-value: 0.6607

9PM, knocks not significant.

Splitting by site.

Mid Frequency Hourly Breakdown (Long Calls)

3 AM, long calls don’t seem to explain a great deal of the relationship at any site

9 AM, long calls don’t seem to explain the relationship at any site

3 PM, long calls don’t seem to explain the relationship

9 PM, long calls don’t seem to explain the relationship

Mid Frequency Hourly Breakdown (Herbivory)

3 AM, Extremely low herbivory at all sites. No relationship

Again, extremely low herbivory, no relationship.

Higher herbivory. Seems like there is a relationship at site 40, 8, and 35.

Higher herbivory here as well, although there is no positive relationship at any site.

Summary Knocks significantly explained SPLMF at sites 35 and 32 and at 9AM.

Abiotic Regressions (Wind) -SPL

Running basic regressions linking the wind to SPL at both HF and MF to see if wind speed is significantly affecting the sound

## Warning: Removed 1518 rows containing non-finite values (stat_smooth).
## Warning: Removed 1518 rows containing missing values (geom_point).

## Warning: Removed 1520 rows containing non-finite values (stat_smooth).
## Warning: Removed 1520 rows containing missing values (geom_point).

Wind doesn’t seem to impact SPL HF or MF in any particular direction. Although the wind range seems really small.

Centered Regressions

Running basic regressions linking the explanatory to the response at their lowest levels and combined to see how different sites/ hours change the regression - SPL

Linear Model outputs below each

## 
## Call:
## lm(formula = SPL_HF ~ Snaps, data = Snap.HF17C)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -7.8309 -1.9842  0.2062  1.8451 13.3944 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept) -1.055e+01  6.541e-01  -16.14   <2e-16 ***
## Snaps        7.227e-03  4.475e-04   16.15   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2.807 on 10163 degrees of freedom
## Multiple R-squared:  0.02502,    Adjusted R-squared:  0.02493 
## F-statistic: 260.8 on 1 and 10163 DF,  p-value: < 2.2e-16

2017 Snap data, snaps significant.

Mid Frequency

Mid Frequency

## 
## Call:
## lm(formula = SPL_Midrange ~ Tot_Knocks, data = AC.DF1C)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -7.248 -2.267 -0.871  1.597 19.211 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 1.058e+02  2.488e-01 425.326  < 2e-16 ***
## Tot_Knocks  1.744e-02  4.465e-03   3.906 0.000129 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 3.519 on 198 degrees of freedom
## Multiple R-squared:  0.07154,    Adjusted R-squared:  0.06685 
## F-statistic: 15.26 on 1 and 198 DF,  p-value: 0.0001287

2017-2018 data w/200 samples. 1st plot splits by site and second by hour to show any patterns before I break them down individually.

#subsetting only lm variables
AC.DF1Co <- subset(AC.DF1C, select = c(SPL_Midrange, Tot_Knocks, Num_L_calls, Num_Herbivory, Site, Hour))

vif(AC.DF1Co)
##       Variables      VIF
## 1  SPL_Midrange 1.233794
## 2    Tot_Knocks 1.602587
## 3   Num_L_calls 1.274945
## 4 Num_Herbivory 1.363614
## 5          Site 1.161708
## 6          Hour 1.134078
#no colinnearity found between explanatory variables
#ggpairs(AC.DF1Co)

All values are near 1, values of 4 or 5 would be moderate. 1 = no collinearity. I think this means that we have no collinearity between my explanatory variables

Breakdown by Site

## 
## Call:
## lm(formula = SPL_Midrange ~ Tot_Knocks, data = s5c)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.4846 -2.3049  0.1011  1.9482  6.0310 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 1.066e+02  6.538e-01 162.961   <2e-16 ***
## Tot_Knocks  5.551e-04  8.256e-03   0.067    0.947    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 3.034 on 38 degrees of freedom
## Multiple R-squared:  0.0001189,  Adjusted R-squared:  -0.02619 
## F-statistic: 0.00452 on 1 and 38 DF,  p-value: 0.9467

Site 5, knocks not significant.

## 
## Call:
## lm(formula = SPL_Midrange ~ Tot_Knocks, data = s35c)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -10.1201  -3.6626   0.4059   4.2686   9.1758 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 107.17848    0.76752 139.643   <2e-16 ***
## Tot_Knocks    0.03231    0.01218   2.653   0.0116 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 4.804 on 38 degrees of freedom
## Multiple R-squared:  0.1563, Adjusted R-squared:  0.1341 
## F-statistic: 7.039 on 1 and 38 DF,  p-value: 0.01157

Site 35, knocks significant.

## 
## Call:
## lm(formula = SPL_Midrange ~ Tot_Knocks, data = s8c)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.5526 -1.5016  0.6098  1.8588  6.6098 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 105.051860   0.445578  235.76   <2e-16 ***
## Tot_Knocks   -0.006653   0.009929   -0.67    0.507    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2.727 on 38 degrees of freedom
## Multiple R-squared:  0.01168,    Adjusted R-squared:  -0.01433 
## F-statistic: 0.449 on 1 and 38 DF,  p-value: 0.5068

Site 8, knocks not significant. Negative relationship… thats interesting.

## 
## Call:
## lm(formula = SPL_Midrange ~ Tot_Knocks, data = s40c)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -2.2090 -0.9792 -0.3831  0.7009  4.7409 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 1.045e+02  3.021e-01 345.957   <2e-16 ***
## Tot_Knocks  6.514e-03  8.094e-03   0.805    0.426    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.554 on 38 degrees of freedom
## Multiple R-squared:  0.01676,    Adjusted R-squared:  -0.009116 
## F-statistic: 0.6477 on 1 and 38 DF,  p-value: 0.4259

Site 40, knocks not significant.

## 
## Call:
## lm(formula = SPL_Midrange ~ Tot_Knocks, data = s32c)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.0442 -1.9728 -0.7078  0.0613 18.4340 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 106.99389    0.82383 129.874   <2e-16 ***
## Tot_Knocks    0.04784    0.01903   2.514   0.0163 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 3.783 on 38 degrees of freedom
## Multiple R-squared:  0.1426, Adjusted R-squared:   0.12 
## F-statistic: 6.321 on 1 and 38 DF,  p-value: 0.01629

Site 32, knocks significant.

Time-Series Acoustics

Acoustics Breakdown All acoustic metrics (SPL and ACI) are broken down into 2 frequency bands: High Frequency (Frequencies between 1 kHz - 22 kHz) and Mid Frequency (Frequencies between 160 Hz and 1 kHz)

Note 2017 had a 10 minute duty cycle with 5 minutes recording while 2018 had a 15 minute duty cycle with 5 minutes recording, so the number of files averages differs between years

Diurnal Deployment Plots

Total Deployment Plots

Models

Preliminary Models Looking into the relationships between biogenic sounds (Knocks/Calls and Snaps) and their frequency spectra (MF SPL/HF SPL) respectively.

Testing for Normality

shapiro.test(AC.DF1$SPL_Midrange)
## 
##  Shapiro-Wilk normality test
## 
## data:  AC.DF1$SPL_Midrange
## W = 0.89502, p-value = 1.225e-10
qqnorm(AC.DF1$SPL_Midrange)

ks.test(SPLHF.long$SPL_HF, "pnorm", mean=mean(SPLHF.long$SPL_HF), sd=sd(SPLHF.long$SPL_HF))
## Warning in ks.test(SPLHF.long$SPL_HF, "pnorm", mean =
## mean(SPLHF.long$SPL_HF), : ties should not be present for the Kolmogorov-
## Smirnov test
## 
##  One-sample Kolmogorov-Smirnov test
## 
## data:  SPLHF.long$SPL_HF
## D = 0.027859, p-value = 5.618e-12
## alternative hypothesis: two-sided
ks.test(SPLMF.long$SPL_MF, "pnorm", mean=mean(SPLMF.long$SPL_MF), sd=sd(SPLMF.long$SPL_MF))
## 
##  One-sample Kolmogorov-Smirnov test
## 
## data:  SPLMF.long$SPL_MF
## D = 0.089921, p-value < 2.2e-16
## alternative hypothesis: two-sided
gamma_test(AC.DF1$SPL_Midrange)
## 
##  Test of fit for the Gamma distribution
## 
## data:  AC.DF1$SPL_Midrange
## V = 9.8936, p-value = 2.637e-12
weibull_test(AC.DF1$SPL_Midrange)
## 
##  Test for the Weibull distribution
## 
## data:  AC.DF1$SPL_Midrange
## p-value < 2.2e-16
gamma_test(AC.DF1$SPL_HF)
## 
##  Test of fit for the Gamma distribution
## 
## data:  AC.DF1$SPL_HF
## V = 0.16773, p-value = 0.9056
weibull_test(AC.DF1$SPL_HF)
## 
##  Test for the Weibull distribution
## 
## data:  AC.DF1$SPL_HF
## p-value < 2.2e-16

Don’t seem to have a normal distribution here… Working on testing different distributions. Not sure what the outputs on the gamma or weibull tests mean

Model 1

Using only the two interactions that are significant, Tot_Knocks:Hour and Num_Herbiory:Hour, removing Long calls because it isn’t significant and adding site and year as fixed effects

Using years combined

#subsetting only lm variables
AC.DF1Co <- subset(AC.DF1C, select = c(SPL_Midrange, Tot_Knocks, Num_L_calls, Num_Herbivory, Site, Hour, Year))

#making Hour ordinal
AC.DF1Co$Hour_factor <- factor (AC.DF1$Hour, order = TRUE, levels = c("3", "9", "15", "21"))


fit1 <- lm(SPL_Midrange ~ Tot_Knocks:Hour_factor + Num_Herbivory:Hour_factor + Site + Year , data = AC.DF1Co)

summary(fit1)
## 
## Call:
## lm(formula = SPL_Midrange ~ Tot_Knocks:Hour_factor + Num_Herbivory:Hour_factor + 
##     Site + Year, data = AC.DF1Co)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.3122 -1.6333 -0.1849  1.3944 17.0470 
## 
## Coefficients:
##                               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)                 104.059396   0.527849 197.139  < 2e-16 ***
## Site35                        0.703106   0.618540   1.137  0.25712    
## Site40                       -1.339345   0.594096  -2.254  0.02534 *  
## Site5                        -0.119728   0.692071  -0.173  0.86284    
## Site8                        -0.896726   0.604805  -1.483  0.13985    
## Year18                        3.596665   0.371747   9.675  < 2e-16 ***
## Tot_Knocks:Hour_factor3       0.005186   0.006419   0.808  0.42023    
## Tot_Knocks:Hour_factor9       0.042591   0.006759   6.302 2.08e-09 ***
## Tot_Knocks:Hour_factor15     -0.006117   0.009421  -0.649  0.51694    
## Tot_Knocks:Hour_factor21      0.003490   0.007411   0.471  0.63823    
## Hour_factor3:Num_Herbivory    0.242666   0.149985   1.618  0.10737    
## Hour_factor9:Num_Herbivory   -0.313843   0.151347  -2.074  0.03949 *  
## Hour_factor15:Num_Herbivory   0.065801   0.025188   2.612  0.00972 ** 
## Hour_factor21:Num_Herbivory  -0.047379   0.079104  -0.599  0.54993    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2.617 on 186 degrees of freedom
## Multiple R-squared:  0.5175, Adjusted R-squared:  0.4838 
## F-statistic: 15.35 on 13 and 186 DF,  p-value: < 2.2e-16
#options(na.action = "na.fail")
#dredge(gfit6)

Interaction between Site and Tot_Knocks with Hour as fixed effect

fit1i <- lm(SPL_Midrange ~ Tot_Knocks:Site + Num_Herbivory + Hour_factor + Year, data = AC.DF1Co)
summary(fit1i)
## 
## Call:
## lm(formula = SPL_Midrange ~ Tot_Knocks:Site + Num_Herbivory + 
##     Hour_factor + Year, data = AC.DF1Co)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -5.5233 -1.6508 -0.4413  1.5002 16.9121 
## 
## Coefficients:
##                     Estimate Std. Error t value Pr(>|t|)    
## (Intercept)       104.198610   0.313291 332.593  < 2e-16 ***
## Num_Herbivory       0.060428   0.026927   2.244 0.025981 *  
## Hour_factor.L       0.688227   0.428754   1.605 0.110124    
## Hour_factor.Q      -0.556836   0.424106  -1.313 0.190787    
## Hour_factor.C       1.219376   0.445446   2.737 0.006783 ** 
## Year18              3.663882   0.408758   8.963 3.04e-16 ***
## Tot_Knocks:Site32   0.017571   0.011321   1.552 0.122331    
## Tot_Knocks:Site35   0.026953   0.007403   3.641 0.000351 ***
## Tot_Knocks:Site40   0.039283   0.012841   3.059 0.002541 ** 
## Tot_Knocks:Site5    0.003311   0.006106   0.542 0.588304    
## Tot_Knocks:Site8    0.006780   0.010460   0.648 0.517642    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2.856 on 189 degrees of freedom
## Multiple R-squared:  0.4161, Adjusted R-squared:  0.3852 
## F-statistic: 13.47 on 10 and 189 DF,  p-value: < 2.2e-16

Splitting by Year

Splitting by year and then using site as a fixed effect

2017

#2017
AC.DF17 <- AC.DF1Co[which(AC.DF1Co$Year == 17),]
#2018
AC.DF18 <- AC.DF1Co[which(AC.DF1Co$Year == 18),]

fit17 <- lm(SPL_Midrange ~ Tot_Knocks:Hour_factor + Num_Herbivory:Hour_factor + Site, data = AC.DF17)
summary(fit17)
## 
## Call:
## lm(formula = SPL_Midrange ~ Tot_Knocks:Hour_factor + Num_Herbivory:Hour_factor + 
##     Site, data = AC.DF17)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -3.0735 -0.9708 -0.2031  0.5977  6.0536 
## 
## Coefficients:
##                               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)                 103.927133   0.429512 241.966  < 2e-16 ***
## Site35                       -1.240316   0.520509  -2.383 0.019355 *  
## Site40                        0.773366   0.510556   1.515 0.133460    
## Site5                         0.054893   0.646146   0.085 0.932493    
## Site8                        -0.832115   0.534057  -1.558 0.122840    
## Tot_Knocks:Hour_factor3       0.001684   0.006584   0.256 0.798674    
## Tot_Knocks:Hour_factor9       0.028834   0.007722   3.734 0.000336 ***
## Tot_Knocks:Hour_factor15     -0.002616   0.008206  -0.319 0.750687    
## Tot_Knocks:Hour_factor21     -0.001089   0.006056  -0.180 0.857786    
## Hour_factor3:Num_Herbivory    0.340468   0.128479   2.650 0.009561 ** 
## Hour_factor9:Num_Herbivory   -0.449545   0.127855  -3.516 0.000698 ***
## Hour_factor15:Num_Herbivory   0.099727   0.021018   4.745 8.12e-06 ***
## Hour_factor21:Num_Herbivory   0.012992   0.064635   0.201 0.841158    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.565 on 87 degrees of freedom
## Multiple R-squared:  0.5238, Adjusted R-squared:  0.4581 
## F-statistic: 7.975 on 12 and 87 DF,  p-value: 7.631e-10

2018

fit18 <- lm(SPL_Midrange ~ Tot_Knocks:Hour_factor + Num_Herbivory:Hour_factor + Site, data = AC.DF1Co)
summary(fit18)
## 
## Call:
## lm(formula = SPL_Midrange ~ Tot_Knocks:Hour_factor + Num_Herbivory:Hour_factor + 
##     Site, data = AC.DF1Co)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -6.0054 -2.1220 -0.5208  1.7465 18.8057 
## 
## Coefficients:
##                               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)                 105.942767   0.599955 176.585  < 2e-16 ***
## Site35                        0.590618   0.756213   0.781   0.4358    
## Site40                       -1.358831   0.726452  -1.871   0.0630 .  
## Site5                        -0.303921   0.845939  -0.359   0.7198    
## Site8                        -0.905564   0.739550  -1.224   0.2223    
## Tot_Knocks:Hour_factor3       0.005718   0.007849   0.728   0.4672    
## Tot_Knocks:Hour_factor9       0.047789   0.008238   5.801 2.77e-08 ***
## Tot_Knocks:Hour_factor15     -0.002397   0.011510  -0.208   0.8353    
## Tot_Knocks:Hour_factor21      0.004377   0.009061   0.483   0.6296    
## Hour_factor3:Num_Herbivory    0.235640   0.183399   1.285   0.2004    
## Hour_factor9:Num_Herbivory   -0.303946   0.185062  -1.642   0.1022    
## Hour_factor15:Num_Herbivory   0.060789   0.030793   1.974   0.0498 *  
## Hour_factor21:Num_Herbivory  -0.036763   0.096718  -0.380   0.7043    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 3.2 on 187 degrees of freedom
## Multiple R-squared:  0.2747, Adjusted R-squared:  0.2282 
## F-statistic: 5.903 on 12 and 187 DF,  p-value: 1.141e-08

Model 2 - HF SPL and Snaps

Looking at Snaps and their effect on the HF SPL

Using Site and Year as fixed effects here

fit2t <- lm(SPL_HF ~ Snaps + Site + Year, data = AC.DF1)
summary(fit2t)
## 
## Call:
## lm(formula = SPL_HF ~ Snaps + Site + Year, data = AC.DF1)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -5.8362 -1.9020  0.1782  1.8719  6.1705 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 80.173407   4.493791  17.841  < 2e-16 ***
## Snaps        0.024438   0.003011   8.117 5.49e-14 ***
## Site35       0.131586   0.584192   0.225  0.82203    
## Site40      -1.489068   0.581391  -2.561  0.01119 *  
## Site5       -2.459775   0.580167  -4.240 3.47e-05 ***
## Site8        1.926522   0.603377   3.193  0.00164 ** 
## Year18       3.957446   0.367115  10.780  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2.593 on 193 degrees of freedom
## Multiple R-squared:  0.5281, Adjusted R-squared:  0.5134 
## F-statistic:    36 on 6 and 193 DF,  p-value: < 2.2e-16
par(mfrow = c(2,2))
plot(fit2t)

summary(fit2t)$coefficients
##                Estimate Std. Error    t value     Pr(>|t|)
## (Intercept) 80.17340678 4.49379121 17.8409283 1.069916e-42
## Snaps        0.02443775 0.00301055  8.1173706 5.493199e-14
## Site35       0.13158573 0.58419178  0.2252441 8.220277e-01
## Site40      -1.48906825 0.58139108 -2.5612162 1.119456e-02
## Site5       -2.45977489 0.58016711 -4.2397696 3.466851e-05
## Site8        1.92652232 0.60337671  3.1929014 1.644816e-03
## Year18       3.95744586 0.36711468 10.7798629 1.640277e-21

Using interaction between Site and Snaps here and Year is fixed

fit2i <- lm(SPL_HF ~ Snaps:Site + Year, data = AC.DF1)
summary(fit2i)
## 
## Call:
## lm(formula = SPL_HF ~ Snaps:Site + Year, data = AC.DF1)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -5.867 -1.858  0.208  1.893  6.165 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  79.899699   4.415367  18.096  < 2e-16 ***
## Year18        3.939999   0.367792  10.713  < 2e-16 ***
## Snaps:Site32  0.024586   0.002980   8.251 2.41e-14 ***
## Snaps:Site35  0.024740   0.003028   8.169 3.99e-14 ***
## Snaps:Site40  0.023632   0.003006   7.862 2.60e-13 ***
## Snaps:Site5   0.022972   0.002996   7.667 8.39e-13 ***
## Snaps:Site8   0.025984   0.003093   8.402 9.46e-15 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2.598 on 193 degrees of freedom
## Multiple R-squared:  0.5263, Adjusted R-squared:  0.5115 
## F-statistic: 35.73 on 6 and 193 DF,  p-value: < 2.2e-16
par(mfrow = c(2,2))
plot(fit2i)

summary(fit2i)$coefficients
##                 Estimate  Std. Error   t value     Pr(>|t|)
## (Intercept)  79.89969940 4.415366774 18.095824 1.918246e-43
## Year18        3.93999898 0.367792008 10.712574 2.588519e-21
## Snaps:Site32  0.02458557 0.002979615  8.251255 2.407012e-14
## Snaps:Site35  0.02474002 0.003028434  8.169245 3.993005e-14
## Snaps:Site40  0.02363161 0.003005779  7.862059 2.603401e-13
## Snaps:Site5   0.02297162 0.002996061  7.667275 8.394491e-13
## Snaps:Site8   0.02598444 0.003092820  8.401534 9.464968e-15

Spectrograms

Putting in spectrograms to analyze how the 4 different times sampled look

Note All spectrograms are time along the x axis, frequency along the y axis, frequency is zoomed in to just 0 - 3 kHz

Times progression: 3 AM, 9 AM, 3 PM, 9 PM

Site 5

Site 8

Site 35

Site 32

Site 40

Intensity